Search a number
-
+
456943424345 = 52917569179369
BaseRepresentation
bin1101010011000111111…
…00110101001101011001
31121200110011200001012022
412221203330311031121
524441310004034340
6545530015224225
745004325010302
oct6514374651531
91550404601168
10456943424345
11166874717981
1274685518075
1334121a65885
141818ab237a9
15bd45b2e3b5
hex6a63f35359

456943424345 has 16 divisors (see below), whose sum is σ = 567275562000. Its totient is φ = 352927346688.

The previous prime is 456943424339. The next prime is 456943424369. The reversal of 456943424345 is 543424349654.

It can be written as a sum of positive squares in 8 ways, for example, as 85259328064 + 371684096281 = 291992^2 + 609659^2 .

It is a cyclic number.

It is not a de Polignac number, because 456943424345 - 214 = 456943407961 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2457821 + ... + 2637189.

It is an arithmetic number, because the mean of its divisors is an integer number (35454722625).

Almost surely, 2456943424345 is an apocalyptic number.

It is an amenable number.

456943424345 is a deficient number, since it is larger than the sum of its proper divisors (110332137655).

456943424345 is a wasteful number, since it uses less digits than its factorization.

456943424345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196972.

The product of its digits is 24883200, while the sum is 53.

The spelling of 456943424345 in words is "four hundred fifty-six billion, nine hundred forty-three million, four hundred twenty-four thousand, three hundred forty-five".

Divisors: 1 5 29 145 17569 87845 179369 509501 896845 2547505 5201701 26008505 3151333961 15756669805 91388684869 456943424345